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Finding the Fourth Proportional to 20,115.90, 27,755.67 and 12,159.90

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Solution

The fourth proportional to 20,115.90, 27,755.67 and 12,159.90 is: 16,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.90 : 27,755.67 = 12,159.90 : x
  2. Step 2: Convert to fraction form
    20,115.90/27,755.67 = 12,159.90/x
  3. Step 3: Cross multiply
    20,115.90x = 27,755.67 × 12,159.90
  4. Step 4: Simplify right side
    20,115.90x = 337,506,171.63
  5. Step 5: Solve for x
    x = 337,506,171.63/20,115.90
  6. Step 6: Final answer
    x = 16,778.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.